Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
121
What is the present worth of Rs. 1210 due 3 years hence at 7% per annum?
Answer:
Rs. 1000
With Amount = Rs. 1210, R = 7%, and T = 3 years, the Present Worth PW = (100 * Amount) / (100 + R * T) = (100 * 1210) / (100 + 7 * 3) = 121000 / 121 = Rs. 1000.
122
Find the true discount on Rs. 1210 due 3 years hence at 7% per annum.
Answer:
Rs. 210
Here, Amount = Rs. 1210, R = 7%, and T = 3 years. True Discount TD = (Amount * R * T) / (100 + R * T) = (1210 * 7 * 3) / (100 + 7 * 3) = 25410 / 121 = Rs. 210.
123
The banker's discount and true discount on a certain sum of money are Rs. 687.50 and Rs. 550 respectively. What is the present worth of the sum?
Answer:
Rs. 2200
Present Worth (PW) can be found using the relationship PW = (TD^2) / (BD - TD). Substituting the values, PW = (550 * 550) / (687.50 - 550) = 302500 / 137.50 = Rs. 2200.
124
The banker's discount and true discount on a certain sum of money are Rs. 687.50 and Rs. 550 respectively. Find the sum due.
Answer:
Rs. 2750
To find the sum due (Amount) when BD and TD are known, use the formula: Amount = (BD * TD) / (BD - TD). Amount = (687.50 * 550) / (687.50 - 550) = 378125 / 137.50 = Rs. 2750.
125
Find the banker's gain on a bill of Rs. 2750 due 2 years and 6 months hence at 10% per annum.
Answer:
Rs. 137.50
Banker's Gain (BG) is the difference between BD and TD. BD = (2750 * 10 * 2.5) / 100 = Rs. 687.50. TD = (2750 * 10 * 2.5) / 125 = Rs. 550. Therefore, BG = BD - TD = 687.50 - 550 = Rs. 137.50.
126
Find the banker's discount on a bill of Rs. 2750 due 2 years and 6 months hence at 10% per annum.
Answer:
Rs. 687.50
Banker's Discount (BD) is the simple interest on the total amount. BD = (Amount * R * T) / 100. Substituting the given values, BD = (2750 * 10 * 2.5) / 100 = 68750 / 100 = Rs. 687.50.
127
What is the present worth of Rs. 2750 due 2 years and 6 months hence at 10% per annum?
Answer:
Rs. 2200
The Present Worth (PW) is calculated as PW = (100 * Amount) / (100 + R * T). Here, Amount = Rs. 2750, R = 10%, and T = 2.5 years. PW = (100 * 2750) / (100 + 25) = 275000 / 125 = Rs. 2200.
128
Find the true discount on Rs. 2750 due 2 years and 6 months hence at 10% per annum.
Answer:
Rs. 550
Using the True Discount formula TD = (Amount * R * T) / (100 + R * T). Here 2 years 6 months = 2.5 years. Substituting the values: TD = (2750 * 10 * 2.5) / (100 + 10 * 2.5) = 68750 / 125 = Rs. 550.
129
The banker's discount and true discount on a certain sum of money are Rs. 212.40 and Rs. 180 respectively. What is the present worth of the sum?
Answer:
Rs. 1000
Present Worth (PW) can be found using the formula PW = (TD^2) / (BD - TD). Substituting the values, PW = (180 * 180) / (212.40 - 180) = 32400 / 32.40 = Rs. 1000.
130
The banker's discount and true discount on a certain sum of money are Rs. 212.40 and Rs. 180 respectively. Find the sum due.
Answer:
Rs. 1180
To find the sum due (Amount) when BD and TD are given, use Amount = (BD * TD) / (BD - TD). Amount = (212.40 * 180) / (212.40 - 180) = 38232 / 32.40 = Rs. 1180.